Question

Find the second order derivatives of the function
$x^{20}$

Answer 1

The correct answer is $380x^{18}$
Let $y=x^{20}$
Then,
$\frac{dy}{dx}=\frac{d}{dx}(x^{20})=20x^{19}$
$∴\frac{d^2y}{dx^2}=\frac{d}{dx}(20x^{19})=20\frac{d}{dx}(x^{19})=20.19.x^{18}=380x^{18}$